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0580 P22 - Mar 2025 - Q14 - 5 marks
10885
Cyclic points A B C D E and tangent FCG with angles BAD 110, ADB 20 and BEC 45 degrees

A, B, C, D and E lie on a circle. FG is tangent at C. \(\angle BAD=110^\circ,\angle ADB=20^\circ,\angle BEC=45^\circ\).

(a) Find \(\angle BCD\), giving a geometrical reason. [2]

(b(i)) Find \(\angle DBC\). [2]

(b(ii)) Find \(\angle DCG\). [1]

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